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Finding the Fourth Proportional to 592.92, 817.65 and 396.09

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Solution

The fourth proportional to 592.92, 817.65 and 396.09 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 817.65 = 396.09 : x
  2. Step 2: Convert to fraction form
    592.92/817.65 = 396.09/x
  3. Step 3: Cross multiply
    592.92x = 817.65 × 396.09
  4. Step 4: Simplify right side
    592.92x = 323,862.99
  5. Step 5: Solve for x
    x = 323,862.99/592.92
  6. Step 6: Final answer
    x = 546.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.